Transforming Numerical Methods Education for the STEM Undergraduate MOBILE | VIDEOS | BLOG | YOUTUBE | TWITTER | COMMENTS | ANALYTICS | ABOUT | CONTACT | COURSE WEBSITES | BOOKS | MATH FOR COLLEGE |

 language Matlab SIMULTANEOUS LINEAR EQUATIONS Major Industrial

BACKGROUND

Pre-Requisites for Primer on Simultaneous Linear Equations [PDF] [DOC]

Objectives of Primer on Simultaneous Linear Equations [PDF] [DOC]

Introduction to Matrix Algebra [Complete textbook]

Introduction [PDF] [DOC]

Vectors [PDF] [DOC]

Binary Matrix Operations [PDF] [DOC]

Unary Matrix Operations [PDF] [DOC]

System of Equations [PDF] [DOC]

Test Your Knowledge of Background of Simultaneous Linear Equations [HTML] [FLASH] [PDF] [DOC]

PHYSICAL PROBLEM

Finding the velocity profile of a rocket [PDF] [DOC]

NUMERICAL METHOD

Pre-Requisites for Gaussian Elimination [PDF] [DOC]

Objectives of Gaussian Elimination [PDF] [DOC]

How does Gaussian Elimination Method Work? [PDF] [DOC]

Naive Gaussian elimination: Theory: Part 1 of 2 [YOUTUBE 10:27]

Naive Gaussian elimination: Theory: Part 2 of 2 [YOUTUBE 2:22]

Naive Gauss Elimination Method: Example: Part 1 of 2 (Forward Elimination) [YOUTUBE 10:49]

Naive Gauss Elimination Method: Example: Part 2 of 2 (Back Substitution) [YOUTUBE 6:40]

Pitfalls of Naive Gauss Elimination Method: [YOUTUBE 7:20]

Naive Gauss Elimination: Round-off Error Issues: Example: Part 1 of 3 [YOUTUBE 7:20]

Naive Gauss Elimination: Round-off Error Issues: Example: Part 2 of 3 [YOUTUBE 7:40]

Naive Gauss Elimination: Round-off Error Issues: Example: Part 3 of 3 [YOUTUBE 8:07]

Gaussian Elimination With Partial Pivoting: Theory [YOUTUBE 10:39]

Gaussian Elimination With Partial Pivoting: Example: Part 1 of 3 (Forward Elimination) [YOUTUBE 7:15]

Gaussian Elimination With Partial Pivoting: Example: Part 2 of 3 (Forward Elimination) [YOUTUBE 10:08]

Gaussian Elimination With Partial Pivoting: Example: Part 3 of 3 (Back Substitution) [YOUTUBE 6:18]

Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 1 of 3 [YOUTUBE 8:58]

Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 2 of 3 [YOUTUBE 8:17]

Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 3 of 3 [YOUTUBE 5:48]

Determinant of a Matrix Using Forward Elimination Method: Background [YOUTUBE 5:17]

Determinant of a Matrix Using Forward Elimination Method: Example [YOUTUBE 10:07]

A Power Point Presentation on Gaussian Elimination [PDF] [PPT]

Worksheet of Gaussian Elimination [PDF] [MFILE]

Test Your Knowledge of Gaussian Elimination [HTML] [FLASH] [PDF] [DOC]

Pre-Requisites for Gauss-Seidel Method [PDF] [DOC]

Objectives of Gauss-Seidel Method [PDF] [DOC]

How does LU Decomposition Work? [PDF] [DOC]

LU Decomposition Method: Example  [YOUTUBE 10:29]

Why LU Decomposition:  Part 1 [YOUTUBE 4:58]

Why LU Decomposition:  Part 2 [YOUTUBE 8:05]

Decomposing a Square Matrix:  Part 1 of 2 [YOUTUBE 6:56]

Decomposing a Square Matrix:  Part 2 of 2 [YOUTUBE 4:37]

Finding Inverse of a Matrix Using LU Decomposition: Background [YOUTUBE 6:03]

Finding Inverse of a Matrix Using LU Decomposition: Example [YOUTUBE 10:20]

A Power Point Presentation on LU Decomposition Method [PDF] [PPT]

Worksheet of LU Decomposition Method [PDF] [MFILE]

Test Your Knowledge of LU Decomposition [HTML] [FLASH] [PDF] [DOC]

Pre-Requisites for Gauss-Seidel Method [PDF] [DOC]

Objectives of Gauss-Seidel Method [PDF] [DOC]

How does Gauss-Seidel method work? [PDF] [DOC]

A Power Point Presentation on Gauss-Seidel Method [PDF] [PPT]

Worksheet of Gauss-Seidel Method [PDF] [MFILE]

Convergence Worksheet of Gauss-Seidel Method [PDF] [MFILE]

Test Your Knowledge of Gauss-Seidel Method [HTML] [FLASH] [PDF] [DOC]

ANECDOTES

Effect of Significant Digits on Solution of Equations

Textbook Notes [PDF] [DOC] | Worksheet [PDF] [MFILE]

Saving of Computational Time for Finding Inverse of a Matrix using LU Decomposition

Textbook Notes [PDF] [DOC] | Worksheet [PDF] [MFILE

Textbook Notes [PDF] [DOC] | Worksheet [PDF] [MFILE]

Eigenvalues and Eigenvectors [DOC] [PDF]

Gauss [HTML] [PDF] [DOC]

 AUDIENCE |  AWARDS  |  PEOPLE  |  TRACKS  |  DISSEMINATION  |  PUBLICATIONS Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact mathforcollege@yahoo.com.   This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624,  0836981, , 0836805.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Matlab, MathCAD, USF, FAMU and MSOE.  Based on a work at http://nm.mathforcollege.com.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. ANALYTICS